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2066656 = 251729131
BaseRepresentation
bin111111000100011100000
310212222220211
413320203200
51012113111
6112143504
723365144
oct7704340
93788824
102066656
111191789
12837b94
13574897
143bb224
152ac521
hex1f88e0

2066656 has 48 divisors (see below), whose sum is σ = 4490640. Its totient is φ = 931840.

The previous prime is 2066653. The next prime is 2066681. The reversal of 2066656 is 6566602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2066653) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15711 + ... + 15841.

It is an arithmetic number, because the mean of its divisors is an integer number (93555).

22066656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2066656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2245320).

2066656 is an abundant number, since it is smaller than the sum of its proper divisors (2423984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2066656 is a wasteful number, since it uses less digits than its factorization.

2066656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 187 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 2066656 is about 1437.5868669406. The cubic root of 2066656 is about 127.3765253424.

The spelling of 2066656 in words is "two million, sixty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 17 29 32 34 58 68 116 131 136 232 262 272 464 493 524 544 928 986 1048 1972 2096 2227 3799 3944 4192 4454 7598 7888 8908 15196 15776 17816 30392 35632 60784 64583 71264 121568 129166 258332 516664 1033328 2066656